Mathematical Fluency: the Nature of Practice and the Role of Subordination (Hewitt, 1996)
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Teach, Do, Practise, Behave: Equality
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Teach, Do, Practise, Behave
What does equals mean?
Breaking and Fixing
Bridging Instruction
Childrens Learning (Siegler, 1996)
Representational Fluency in Middle School: A Classroom Study (Nathan et al., 2002)
The Real Story Behind Story Problems: Effects of Representations on Quantitative Reasoning (Koedinger et al., 2004)
Bridging Instruction
Teaching and Doing
1
Learning from Examples: Instructional Principles from the Worked Examples Research (Atkinson et al., 2000)
Mistakes on display: Incorrect examples refine equation solving and algebraic feature knowledge (Barbieri & Booth, 2020)
Examples and Tutored Problems: How can Self-Explanation Make a Difference to Learning? (Najar & Mitrovic, 2011)
How do we practise?
Mathematical Fluency: the Nature of Practice and the Role of Subordination (Hewitt, 1996)
Developing mathematical fluency: comparing exercises and rich tasks (Foster, 2017)
Assessing Mathematical Proficiency: What is important? (Burkhart, 2007)
Practising Tasks
What does 'behaving' look like?
What makes a Rich Task? (Griffin, 2009)
Low attainers exhibiting higher-order mathematical thinking (Watson, 2001)
Behaving Tasks
A Learning Episode...